Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x

So, this equation has no solution as both sides are not equal.
b) 
Solving:

So, this equation has one solution
c) 7(y-3)=6y-21
Solving:

So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
Answer:
12 will be the answer I think so
Hello :D
Answer:
A. 
Step-by-step explanation:
First, you add by 14 both sides of an equation.
-14-5y+14>-64+14
Then, simplify by equation.
-64+14=-50
-5y>-50
Multiply -1 both sides.
(-5y)(-1)<(-50)(-1)
5y<50
Divide by 5 both sides of an equation.
5y/5<50/5
Divide numbers from left to right.
50/5=10
y<10 is the correct answer.
Hope this helps you! :D